The inequality x + 5 < x + 4 has no solutions. Explain why

Subtract x from both sides and we go from

x+5 < x+4

to

5 < 4

The x terms cancel out. What we're left with is a false statement. The number 5 is never smaller than 4. Therefore, the original inequality is always false as well. No matter what number you replace x with, you'll never get a true statement. Let's try x = 10

x+5 < x+4

10+5 < 10+4

15 < 14

which is false. I'll let you try other x values. So this is why the inequality has no solutions. A solution is something we replace x with to make the inequality a true statement.

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step-by-step explanation:

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